Abstract
In recent years, the investigation of transport properties of hybrid structures consisting of two superconductors connected by a ferromagnet has been the subject of many studies. Their dynamic properties are closely related to the Andreev scattering and spin polarization in ferromagnet barrier. This kind of junction offer the possibility to study interplay between the phase coherent propagation of Andreev pairs and various decoherence mechanisms. We review a quantitative theory developed in the last decade for describing quasiparticle transport properties in superconductor/ferromagnet (F)/superconductor junctions where superconducting electrodes could have s-wave (SFS junction) or d-wave (DFD junction) symmetry. In the relaxation-time approximation utilizing the time-dependent Bogoliubov–de Gennes equations the current–voltage characteristic and conductance are calculated. The obtained results provides possibility to experimentally determine value of weak exchange field in ferromagnets and order parameter of superconductors in this kind of junctions.
Similar content being viewed by others
Data Availability
No aata associated in the manuscript.
References
A.A. Golubov, MYu. Kupriyanov, E. Ilichev, Rev. Mod. Phys. 76, 411 (2004)
A.I. Buzdin, Rev. Mod. Phys. 77, 935 (2005)
F.S. Bergeret, A.F. Volkov, K.B. Efetov, Rev. Mod. Phys. 77, 1321 (2005)
C.W.J. Beenakker, H. van Houten, Phys. Rev. Lett. 66, 3056 (1991)
C.W.J. Beenakker, Phys. Rev. Lett. 67, 3836 (1991)
B.J. van Wees, K.M.H. Lenssen, C.J.P.M. Harmans, Phys. Rev. B 44, 470 (1991)
A. Furusaki, H. Takayanagi, M. Tsukada, Phys. Rev. B 45, 1056 (1992)
P.F. Bagwell, Phys. Rev. B 46(12), 473 (1992)
A.F. Andreev, Zh. Eksp, Teor. Fiz. 49, 655 (1965)
A.F. Andreev, Sov. Phys. JETP 22, 455 (1966)
I.O. Kulik, Zh. Eksp, Teor. Fiz. 57, 1745 (1969)
I.O. Kulik, Sov. Phys. JETP 30, 944 (1970)
J. Bardeen, J.L. Johnson, Phys. Rev. B 5, 72 (1972)
A. Furusaki, M. Tsukada, Phys. Rev. B 43, 10164 (1991)
T.M. Klapwijk, G.E. Blonder, M. Tinkham, Phys. B 109–110, 1657 (1982)
M. Octavio, M. Tinkham, G.E. Blonder, T.M. Klapwijk, Phys. Rev. B 27, 6739 (1983)
G.B. Arnold, J. Low Temp. Phys. 68, 1 (1987)
U. Gunsenheimer, A.D. Zaikin, Phys. Rev. B 50, 6317 (1994)
R. Kümmel, U. Gunsenheimer, R. Nicolsky, Phys. Rev. B 42, 3992 (1990)
V.V. Ryazanov, V.A. Oboznov, A.Y. Rusanov, A.V. Veretennikov, A.A. Golubov, J. Aarts, Phys. Rev. Lett. 86, 2427 (2001)
V.V. Ryazanov, V.A. Oboznov, A.V. Veretennikov, A.Y. Rusanov, Phys. Rev. B 65, 020501(R) (2001)
T. Kontos, M. Aprili, J. Lesueur, F. Genêt, B. Stephanidis, R. Boursier, Phys. Rev. Lett. 89, 137007 (2002)
Y. Blum, A. Tsukernik, M. Karpovski, A. Palevski, Phys. Rev. Lett. 89, 187004 (2002)
H. Sellier, C. Baraduc, F. Lefloch, R. Calemezuk, Phys. Rev. Lett. 92, 257005 (2004)
J.W. Robinson, S. Piano, G. Burnell, C. Bell, M.G. Blamire, Phys. Rev. B 76, 094522 (2007)
A.A. Bannykh, J. Pfeiffer, V.S. Stolyarov, I.E. Batov, V.V. Ryazanov, M. Weides, Phys. Rev. B 79, 054501 (2009)
J. Pfeiffer, M. Kemmler, D. Koelle, R. Kleiner, E. Goldobin, M. Weides, A.K. Feofanov, J. Lisenfeld, A.V. Ustinov, Phys. Rev. B 77, 214506 (2008)
F. Born, M. Siegel, E.K. Hollmann, H. Braak, A.A. Golubov, DYu. Gusakova, MYu. Kupriyanov, Phys. Rev. B 74, 140501(R) (2006)
V.M. Krasnov, O. Ericsson, S. Intiso, P. Delsing, V.A. Oboznov, A.S. Prokofiev, V.V. Ryazanov, Physica C 418, 16 (2005)
M. Weides, M. Kemmler, H. Kohlstedt, R. Waser, D. Koelle, R. Kleiner, E. Goldobin, Phys. Rev. Lett. 97, 247001 (2006)
A. Martín-Rodero. A. Levy Yeyati, J.C. Cuevas, Physica C 352, 67 (2001)
A.S. Vasenko, S. Kawabata, A.A. Golubov, MYu. Kupriyanov, C. Lacroix, F.S. Bergeret, F.W.J. Hekking, Phys. Rev. B 84, 024524 (2011)
M. Anderson, J.C. Cuevas, M. Fogelstrom, Physica C 367, 171 (2002)
I.V. Bobkova, A.M. Bobkov, Phys. Rev. B 74, 220504(R) (2006)
I.V. Bobkova, Phys. Rev. B 73, 012506 (2006)
V. Štrbík, Š. Beňačka, Š. Gaži, V. Šmatko, Š. Chromik, A. Dujavová, I. Vávra, J. Elect. Eng. 62, 109 (2011)
Z.Y. Chen, A. Biswas, I. Žutic, T. Wu, S.B. Ogale, R.L. Greene, T. Venkatesan, Phys. Rev. B 63, 212508 (2001)
P.S. Luo, H. Wu, F.C. Zhang, C. Cai, X.Y. Qi, X.L. Dong, W. Liu, X.F. Duan, B. Xu, L.X. Cao, X.G. Qiu, B.R. Zhao, Phys. Rev. B 71, 094502 (2005)
U. Schoop, M. Schonecke, S. Thienhaus, F. Herbstritt, J. Klein, L. Alff, R. Gross, Physica C 350, 237 (2001)
G. Koren, T. Kirzhner, P. Aronov, Phys. Rev. B 85, 024514 (2012)
I. Asulin, O. Yuli, G. Koren, O. Millo, Phys. Rev. B 74, 092501 (2006)
I. Asulin, O. Yuli, I. Felner, G. Koren, O. Millo, Phys. Rev. B 76, 064507 (2007)
T.P. Deveraux, P. Fulde, Phys. Rev. B 47, 14638 (1993)
Z. Popović, L. Dobrosavljević - Grujić, R. Zikic, Phys. Rev. B 85 174510 (2012)
Z. Popović, L. Dobrosavljević - Grujić, R. Zikic, J. Phys. Soc. Jpn. 82, 114714 (2013)
Z. Popović, R. Zikic, L. Dobrosavljević - Grujić, Prog. Theor. Exp. Phys. 2015 103I01 (2015)
Z. Popović, P. Miranović, R. Zikic, Phys. Status Solidi B 255, 1700554 (2018)
R. Kümmel, W. Senftinger, Z. Phys. B 59, 257 (1985)
B. Mühlschlegel, Z. Phys. 155 313 (1959)
L. Dobrosavljević-Grujić, R. Zikic, Z. Radović, Physica C 331, 254 (2000)
R. Zikic, L. Dobrosavljević-Grujić, Z. Radović, Phys. Rev. B 59, 14644 (1999)
D. Averin, A. Bardas, Phys. Rev. Lett. 75, 1831 (1995)
S.K. Yip, Phys. Rev. B 58, 5803 (1998)
R. Kümmel, W. Senftinger, Z. Phys. B 59, 275 (1985)
S.K. Upadhyay, A. Palanisami, R.N. Louie, R.A. Buhrman, Phys. Rev. Lett. 81, 3247 (1998)
M.J.M. de Jong, C.W.J. Beeenakker, Phys. Rev. Lett. 74, 1657 (1995)
O. Vávra, Š. Gaži, I. Vavra, J. Derer, E. Kováčová, Physica C 404, 395 (2004)
J.C. Cuevas, A. Martín-Rodero, A. Levy Yeyaty, Phys. Rev. B 54, 7366 (1996)
A. Poenicke, J.C. Cuevas, M. Fogelstrøm, ibid. 65, 220510(R) (2002)
Z. Popović, S. Kuzmichev, T. Kuzmicheva, J. Appl. Phys. 128, 013901 (2020)
S.A. Kuzmichev, T.E. Kuzmicheva, Low. Temp. Phys. 42, 1008 (2016)
M.Q. Huang, Z.G. Ivanov, P.V. Komissinski, T. Claeson, Physica C 326–327, 79 (2000)
R. Dömel, C.L. Jia, C. Copetti, G. Ockenfuss, A.I. Braginski, Supercond. Sci. Technol. 7, 277 (1994)
K. Senepati, R.C. Budhani, Pramana J. Phys. 69, 267 (2007)
L.Y. Yang, Z.M. Zheng, H.L. Yu, G.Y. Sun, D.Y. Xing, Eur. Phys. J. B 39, 377 (2004)
A. Ozaeta, A.S. Vasenko, F.W.J. Hekking, F.S. Bergeret, Phys. Rev. B 86, 060509(R) (2012)
A. Ozaeta, A.S. Vasenko, F.W.J. Hekking, F.S. Bergeret, Phys. Rev. B 85, 174518 (2012)
A.S. Vasenko, A. Ozaeta, S. Kawabata, F.W.J. Hekking, F.S. Bergeret, J. Supercond. Nov. Magn. 26, 1951 (2013)
A.S. Vasenko, S. Kawabata, A. Ozaeta, A.A. Golubov, V.S. Stolyarov, F.S. Bergeret, F.W.J. Hekking, J. Magn. Magn. Mater. 383, 175 (2015)
S. Yu. Grebenchuk, Zh.A. Devizorova, I.A. Golovchanskiy, I.V. Shchetinin, G.-H. Cao, A.I. Buzdin, D. Roditchev, V.S. Stolyarov, Phys. Rev. B 102, 144501 (2020)
L. Ya. Vinnikov, I.S. Veshchunov, M.S. Sidel’nikov, V.S. Stolyarov, S.V. Egorov, O.V. Skryabina, W. Jiao, G. Cao, T. Tamegai, JETP Lett. 109, 521 (2019)
T. Hirai, Y. Tanaka, N. Yoshida, Y. Asano, J. Inoue, S. Kashiwaya, Phys. Rev. B 67, 174501 (2003)
Z. Popović, P. Miranović, Prog. Theor. Exp. Phys. 2018, 043I01 (2018)
Acknowledgements
The research presented in this paper results from the long-standing collaboration between University of Montenegro and University of Belgrade which was initiated by Prof. Ljiljana Dobrosavljević-Grujić thirty years ago, which continuous and develops with perspective to include more young researches from Serbia and Montenegro. We acknowledge the support by Bilateral Serbia-Montenegro Project No. 451-03-02263/2018-09/6. The work of ZP was also supported by the Serbian Ministry of Science, Technological Development and Innovation, Project No. 451-03-47/2023-01/200162.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Popović, Z., Miranović, P. Current–voltage characteristics and conductance spectra in s-wave or d-wave superconductor/ferromagnet/superconductor heterojunctions: role of Andreev reflection. Eur. Phys. J. Plus 138, 767 (2023). https://doi.org/10.1140/epjp/s13360-023-04394-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-023-04394-3